Pith Number

pith:BIT5DG2D

pith:2015:BIT5DG2DDW2WOPISM2GPQRGD4T

not attested not anchored not stored refs pending

Counting curves on a general linear system with up to two singular points

Ritwik Mukherjee, Somnath Basu

arxiv:1501.01557 v1 · 2015-01-07 · math.AG · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BIT5DG2DDW2WOPISM2GPQRGD4T}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:29:53.810265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a27d19b431db5673d12668cf844c3e4f2cbae7542588fb7ed0f97a7b58dc1ab

Aliases

arxiv: 1501.01557 · arxiv_version: 1501.01557v1 · doi: 10.48550/arxiv.1501.01557 · pith_short_12: BIT5DG2DDW2W · pith_short_16: BIT5DG2DDW2WOPIS · pith_short_8: BIT5DG2D

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BIT5DG2DDW2WOPISM2GPQRGD4T \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0a27d19b431db5673d12668cf844c3e4f2cbae7542588fb7ed0f97a7b58dc1ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c365fd4bd35ef43ba95f5117787df9bb6f311fcc4f70f6aa0c3468d7b77f7f9",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-07T16:52:02Z",
    "title_canon_sha256": "cb23a546c2a2064330352757c99533ec9434825c09e0055876214de274eb1fdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01557",
    "kind": "arxiv",
    "version": 1
  }
}